oj.uz

Submission #1061507

# Submission time Handle Problem Language Result Execution time Memory
1061507 2024-08-16T10:07:08 Z nightfal Stations (IOI20_stations) C++17
100 / 100
 631 ms 1272 KB 
// #include "stations.h"
#include <cstdio>
#include <iostream>
#include <cassert>
#include <map>
#include <vector>
#include <algorithm>
#include <cmath>
#include <utility>
#include <tuple>
using namespace std;

template <typename T> void print(T elem) {cout << elem << " ";}
template <typename T> void print(vector<T> &v) {for(auto elem: v) print(elem); cout << endl;};
template <typename T> void print(vector<vector<T>> &v) {for(auto elem: v) print(elem); cout << endl;};

int DecideLabelsSubtask(int n, int k, vector<vector<int>> &g, vector<int> &u, vector<int> &v) {
	return 5;
	if (k>=pow(10,6)) return 5;
	// if (k==pow(10,9)) return n<=8?  4:5;
	// else if (k==pow(10,6)) return 3;
	for(auto elem: g) 
		if(elem.size()>2) return 2;
	return 1;
}
void labelsSubtask1(int n, vector<vector<int>> &g, vector<int> &labels) {
	int node = 0;
	for (int i=0; i<n; i++)
		if(g[i].size()==1) node = i;

	for (int i=0; i<n; i++) {
		labels[node] = i;
		for(int child: g[node])
			if(labels[child]== -1) {node = child;}
	}
	return;
}
void labelsSubtask2(int n, vector<vector<int>> &g, vector<int> &labels) {
	for(int i=0; i<n; i++)
		labels[i] = i;
	return;
}
void genLabels3(int key, int node, vector<vector<int>> &g, vector<int> &labels) {
    labels[node]=key*1000+1;
    for(int i=2; i<1000; i++) {
        bool terminal = true;
        for(int child: g[node]) {
            if(labels[child]==-1) {labels[child] = 1000*key+i; node = child; terminal=false;}
        }
        if (terminal) return;
    }
}
void labelsSubtask3(int n, vector<vector<int>> &g, vector<int> &labels) {
	int root = 0;
	for(int i=0; i<n; i++)
		if(g[i].size() > 2)  {root = i; break;}
	labels[root] = 1000;
	for(int i=0; i<g[root].size(); i++) {
		int child = g[root][i];
		genLabels3(i+1, child, g, labels);
	} 
	return;
}
void genLabels4(int base, int key, int exp, int node, vector<vector<int>> &g, vector<int> &labels) {
    labels[node]=base + key*pow(10,exp);
	base = labels[node];

    for(int i=0; i<g[node].size(); i++) {
		int child = g[node][i];
		if (labels[child]==-1) 
        	genLabels4(base,i+1,exp-1, child, g, labels);
    }
	return;
}
void labelsSubtask4(int n, vector<vector<int>> &g, vector<int> &labels) {
	labels[0] = pow(10,8);
	int base = labels[0];
	for(int i=0; i<g[0].size(); i++) {
		int child = g[0][i];
		if (labels[child]==-1) 
			genLabels4(base,i+1,7, child, g, labels);
	}	
}
pair<int,int> pporder(int node, int preNum, int postNum, int dNum, vector<vector<int>> &g, 
						vector<int> &pre, vector<int> &post, vector<int> &dist) {
    if (pre[node]!=-1) return {preNum,postNum};
	pre[node] = preNum++;
	dist[node] = dNum++;
	for(int child: g[node])
		// if (pre[child]==-1)
			tie(preNum, postNum) = pporder(child,preNum,postNum,dNum,g,pre,post,dist);
	post[node] = postNum++;
	return {preNum,postNum};
}
void labelsSubtask5_65(int n, vector<vector<int>> &g, vector<int> &labels) {
	vector<int> pre(n,-1), post(n,-1), dist(n,-1);
	pporder(0,0,0,0,g,pre,post,dist);
	for(int i=0; i<n; i++)
		labels[i] = pre[i]*1'000+post[i];
}
int dfs(int node, int orderNum, int dNum, vector<vector<int>> &g, 
						vector<int> &pre, vector<int> &post, vector<int> &dist) {
    if (pre[node]!=-1) return orderNum;
	pre[node] = orderNum++;
	dist[node] = dNum++;
	for(int child: g[node])
		// if (pre[child]==-1)
			orderNum = dfs(child,orderNum,dNum,g,pre,post,dist);
	post[node] = orderNum++;
	return orderNum;
}
void labelsSubtask5_86(int n, vector<vector<int>> &g, vector<int> &labels) {
	vector<int> pre(n,-1), post(n,-1), dist(n,-1);
	dfs(0,0,0,g,pre,post,dist);
	for(int i=0; i<n; i++)
		labels[i] = dist[i]%2? pre[i]+2'000:post[i];
}
void relabel(vector<int> &labels) {
	vector<pair<int,int>> temp;
	for(int i=0; i<labels.size(); i++)
		temp.push_back({labels[i],i});
	sort(temp.begin(),temp.end());
	for(int i=0; i<labels.size(); i++)
		labels[temp[i].second] = i;
	return;
}
void labelsSubtask5_90(int n, vector<vector<int>> &g, vector<int> &labels) {
	vector<int> pre(n,-1), post(n,-1), dist(n,-1);
	dfs(0,0,0,g,pre,post,dist);
	for(int i=0; i<n; i++)
		labels[i] = dist[i]%2? pre[i]:post[i];
	// cout << "labels: "; print(labels);
	relabel(labels);
	// cout << "labels: "; print(labels);
}
std::vector<int> label(int n, int k, std::vector<int> u, std::vector<int> v) {
	std::vector<int> labels(n,-1);
    vector<vector<int>> g(n);
    for (int i=0; i<n-1; i++) {
        g[u[i]].push_back(v[i]);
        g[v[i]].push_back(u[i]);
    }

	int subtask = DecideLabelsSubtask(n,k,g,u,v);
	switch(subtask) {
		case 1: labelsSubtask1(n,g,labels); return labels;
    	case 2: labelsSubtask2(n,g,labels); return labels;
		case 3: labelsSubtask3(n,g,labels); return labels;
		case 4: labelsSubtask4(n,g,labels); return labels;
		case 5:	labelsSubtask5_90(n,g,labels); return labels;
	}
}
bool ancestor(int s, int t) {
    if (s==0) return true;
    while (t) {
        if (s==t) return true;
        t = (t-1)>>1;
    }
    return false;
}
int decideFindSubtask(int s, int t, vector<int> &c) {
	return 5;
	// if (s>pow(10,8) || t>pow(10,8)) return 4;
	if (s> 2*pow(10,3) || c[0] > 2*pow(10,3)) return 5;
    // else if (s>pow(10,3) || t>pow(10,3)) return 3;
	switch(s) {
		case 0:
			if (c.size()==1) return 1;
			else if (c.size()==2) return 2;
		case 1:
			if (t==0) return -1;
			else {
				for(int elem: c) 
					if(elem > 2) return 2;
				return 1;
			}
		default:
			for(int i=0; i<c.size(); i++)
				if(!(c[i]==s-1 || c[i]==s+1)) return 2;
			return 1;
	}
}
int findSubtask1(int s, int t, vector<int> &c) {
	for(int child: c)
		if (s<t && s<child) return child;
		else if (s>t && s>child) return child;
}
int findSubtask2(int s, int t, vector<int> &c) {
	if (ancestor(2*s+1,t)) return 2*s+1;
	else if (ancestor(2*s+2,t)) return 2*s+2;
	else return (s-1)/2;
}
int findSubtask3(int s, int t, vector<int> &c) {
	if (s==1000) return (t/1000)*1000+1;
	else if (s/1000 == t/1000) {
		if (s<t) return s+1;
		else return s-1;
	}
	else { 
		if (s%1000==1) return 1000;
		else return s-1;
	}
}
int findSubtask4(int s, int t, vector<int> &c) {
	int sZeros=0, tZeros=0, s2=s, t2=t;
	while (s2%10==0) {s2/=10; sZeros++;}
	while (t2%10==0) {t2/=10; tZeros++;}
	if(sZeros>tZeros) {
		for(int i=0; i<sZeros-tZeros; i++) t2/=10;
		int divisor = pow(10,sZeros-1);
		if (s2==t2) {return (t/divisor)*divisor;}
	}
	int divisor = pow(10,sZeros+1);
	return (s/divisor)*divisor;
}
int findSubtask5_65(int s, int t, vector<int> &c) {
	int preS = s/1'000, postS = s%1'000;
	int preT = t/1'000, postT = t%1'000;
	int m = c.size();
	vector<int> pre(m), post(m);
	for(int i=0; i<m; i++) { 
        pre[i] = c[i]/1'000; post[i] = c[i]%1'000; 
    }
	if(preS == 0) { // s is the root.
		for(int i=0; i<m; i++)
			if(postT<=post[i]) return c[i];
	}
	else {  // s is an intermediate node.
		if(preT < preS)  return c[0];
		for(int i=1; i<m; i++)
			if(postT<=post[i])  return c[i];
		return c[0];
	}
}
int findSubtask5_86(int s, int t, vector<int> &c) {
	int m = c.size();
	vector<int> pre(m,-1), post(m,-1);

    if (s>=2000) { // s is preordered and c[i] is postordered.
        s -= 2000;
	    for(int i=0; i<m; i++) 
            post[i] = c[i];
        if (t>=2000) t -= 2000;
        if(s==0) { // s is the root.
            for(int i=0; i<m; i++) 
                if(t<=post[i]) return c[i];
		}
        else { // s is an intermediate node.
            if (t<s) return c[m-1]; 
            for(int i=0; i<m-1; i++)
                if(t<=post[i]) {return c[i];}            
            return c[m-1];
        }
    }
    else { // s is postordered and c[i] is preordered.
        for(int i=0; i<m; i++) 
            pre[i] = c[i]-2000;
        if (t>=2000) t -= 2000;
        if(s==0) {// s is the root.
            for(int i=1; i<m; i++) 
                if(t<pre[i]) return c[i-1];
            return c[m-1];
        }
        else { // s is an intermediate node.
            if (t>s) return c[0]; 
            for(int i=1; i<m; i++)
                if(t<pre[i]) return c[i-1];            
            return c[m-1];
        }
    }
}
int findSubtask5_90(int s, int t, vector<int> &c) {
	int m = c.size();
	vector<int> pre(m,-1), post(m,-1);
    // cout << "s:" << s << " t:" << t << endl;
    // cout << "c: "; print(c);

	if (s==0) { // s is root and preordered and c[i] is postordered.
	    for(int i=0; i<m; i++) 
            post[i] = c[i];
        for(int i=0; i<m; i++) 
            if(t<=post[i]) return c[i];
	}
	else { // s is an intermediate node.
		if (s < c[0]) { // s is preordered and c[i] is postordered.
			for(int i=0; i<m; i++) 
				post[i] = c[i];
			if (t<s) return c[m-1]; 
			for(int i=0; i<m-1; i++)
				if(t<=post[i]) {return c[i];}            
			return c[m-1];
		}
		else { // s is postordered and c[i] is preordered.
			for(int i=0; i<m; i++) 
				pre[i] = c[i];
			if (t>s) return c[0]; 
			for(int i=1; i<m; i++)
				if(t<pre[i]) return c[i-1];            
			return c[m-1];
		}
	}
}
int find_next_station(int s, int t, std::vector<int> c) {

    int subtask = decideFindSubtask(s,t,c);
	switch(subtask) {
		case -1: return 0;
		case 1: return findSubtask1(s,t,c);
		case 2: return findSubtask2(s,t,c);
		case 3: return findSubtask3(s,t,c);
		case 4: return findSubtask4(s,t,c);
		case 5:	return findSubtask5_90(s,t,c);
		// case 5: return findSubtask5_65(s,t,c);
	}
}

Compilation message

stations.cpp: In function 'void labelsSubtask3(int, std::vector<std::vector<int> >&, std::vector<int>&)':
stations.cpp:58:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |  for(int i=0; i<g[root].size(); i++) {
      |               ~^~~~~~~~~~~~~~~
stations.cpp: In function 'void genLabels4(int, int, int, int, std::vector<std::vector<int> >&, std::vector<int>&)':
stations.cpp:68:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |     for(int i=0; i<g[node].size(); i++) {
      |                  ~^~~~~~~~~~~~~~~
stations.cpp: In function 'void labelsSubtask4(int, std::vector<std::vector<int> >&, std::vector<int>&)':
stations.cpp:78:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |  for(int i=0; i<g[0].size(); i++) {
      |               ~^~~~~~~~~~~~
stations.cpp: In function 'void relabel(std::vector<int>&)':
stations.cpp:120:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  120 |  for(int i=0; i<labels.size(); i++)
      |               ~^~~~~~~~~~~~~~
stations.cpp:123:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |  for(int i=0; i<labels.size(); i++)
      |               ~^~~~~~~~~~~~~~
stations.cpp: In function 'int decideFindSubtask(int, int, std::vector<int>&)':
stations.cpp:178:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  178 |    for(int i=0; i<c.size(); i++)
      |                 ~^~~~~~~~~
stations.cpp: In function 'int findSubtask5_65(int, int, std::vector<int>&)':
stations.cpp:217:22: warning: unused variable 'postS' [-Wunused-variable]
  217 |  int preS = s/1'000, postS = s%1'000;
      |                      ^~~~~
stations.cpp: In function 'std::vector<int> label(int, int, std::vector<int>, std::vector<int>)':
stations.cpp:138:28: warning: control reaches end of non-void function [-Wreturn-type]
  138 |     vector<vector<int>> g(n);
      |                            ^
stations.cpp: In function 'int findSubtask1(int, int, std::vector<int>&)':
stations.cpp:187:1: warning: control reaches end of non-void function [-Wreturn-type]
  187 | }
      | ^
stations.cpp: In function 'int findSubtask5_65(int, int, std::vector<int>&)':
stations.cpp:220:19: warning: control reaches end of non-void function [-Wreturn-type]
  220 |  vector<int> pre(m), post(m);
      |                   ^
stations.cpp: In function 'int findSubtask5_86(int, int, std::vector<int>&)':
stations.cpp:237:22: warning: control reaches end of non-void function [-Wreturn-type]
  237 |  vector<int> pre(m,-1), post(m,-1);
      |                      ^
stations.cpp: In function 'int findSubtask5_90(int, int, std::vector<int>&)':
stations.cpp:274:22: warning: control reaches end of non-void function [-Wreturn-type]
  274 |  vector<int> pre(m,-1), post(m,-1);
      |                      ^
stations.cpp: In function 'int find_next_station(int, int, std::vector<int>)':
stations.cpp:315:1: warning: control reaches end of non-void function [-Wreturn-type]
  315 | }
      | ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 359 ms 940 KB Output is correct
2 Correct 302 ms 940 KB Output is correct
3 Correct 601 ms 684 KB Output is correct
4 Correct 491 ms 684 KB Output is correct
5 Correct 368 ms 684 KB Output is correct
6 Correct 313 ms 940 KB Output is correct
7 Correct 281 ms 684 KB Output is correct
8 Correct 1 ms 768 KB Output is correct
9 Correct 1 ms 768 KB Output is correct
10 Correct 0 ms 768 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 294 ms 768 KB Output is correct
2 Correct 377 ms 684 KB Output is correct
3 Correct 614 ms 684 KB Output is correct
4 Correct 469 ms 944 KB Output is correct
5 Correct 443 ms 688 KB Output is correct
6 Correct 308 ms 684 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 319 ms 940 KB Output is correct
2 Correct 321 ms 968 KB Output is correct
3 Correct 594 ms 684 KB Output is correct
4 Correct 440 ms 688 KB Output is correct
5 Correct 395 ms 684 KB Output is correct
6 Correct 329 ms 940 KB Output is correct
7 Correct 292 ms 940 KB Output is correct
8 Correct 1 ms 776 KB Output is correct
9 Correct 3 ms 780 KB Output is correct
10 Correct 1 ms 1020 KB Output is correct
11 Correct 392 ms 684 KB Output is correct
12 Correct 318 ms 1012 KB Output is correct
13 Correct 308 ms 1016 KB Output is correct
14 Correct 278 ms 684 KB Output is correct
15 Correct 26 ms 764 KB Output is correct
16 Correct 35 ms 736 KB Output is correct
17 Correct 62 ms 768 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 616 ms 684 KB Output is correct
2 Correct 417 ms 684 KB Output is correct
3 Correct 409 ms 684 KB Output is correct
4 Correct 1 ms 768 KB Output is correct
5 Correct 3 ms 764 KB Output is correct
6 Correct 0 ms 768 KB Output is correct
7 Correct 425 ms 688 KB Output is correct
8 Correct 594 ms 684 KB Output is correct
9 Correct 447 ms 688 KB Output is correct
10 Correct 398 ms 684 KB Output is correct
11 Correct 2 ms 776 KB Output is correct
12 Correct 2 ms 768 KB Output is correct
13 Correct 2 ms 768 KB Output is correct
14 Correct 1 ms 768 KB Output is correct
15 Correct 0 ms 768 KB Output is correct
16 Correct 317 ms 936 KB Output is correct
17 Correct 346 ms 684 KB Output is correct
18 Correct 334 ms 684 KB Output is correct
19 Correct 336 ms 684 KB Output is correct
20 Correct 372 ms 684 KB Output is correct

Subtask #5
61.0 / 61.0

# Verdict Execution time Memory Grader output
1 Correct 388 ms 940 KB Output is correct
2 Correct 288 ms 940 KB Output is correct
3 Correct 631 ms 940 KB Output is correct
4 Correct 487 ms 936 KB Output is correct
5 Correct 384 ms 864 KB Output is correct
6 Correct 298 ms 940 KB Output is correct
7 Correct 275 ms 688 KB Output is correct
8 Correct 1 ms 764 KB Output is correct
9 Correct 1 ms 768 KB Output is correct
10 Correct 0 ms 772 KB Output is correct
11 Correct 279 ms 776 KB Output is correct
12 Correct 395 ms 684 KB Output is correct
13 Correct 623 ms 684 KB Output is correct
14 Correct 423 ms 684 KB Output is correct
15 Correct 379 ms 684 KB Output is correct
16 Correct 308 ms 684 KB Output is correct
17 Correct 405 ms 684 KB Output is correct
18 Correct 328 ms 1272 KB Output is correct
19 Correct 301 ms 1036 KB Output is correct
20 Correct 293 ms 684 KB Output is correct
21 Correct 37 ms 768 KB Output is correct
22 Correct 41 ms 868 KB Output is correct
23 Correct 53 ms 768 KB Output is correct
24 Correct 3 ms 764 KB Output is correct
25 Correct 4 ms 764 KB Output is correct
26 Correct 2 ms 768 KB Output is correct
27 Correct 1 ms 776 KB Output is correct
28 Correct 0 ms 772 KB Output is correct
29 Correct 339 ms 684 KB Output is correct
30 Correct 327 ms 936 KB Output is correct
31 Correct 389 ms 684 KB Output is correct
32 Correct 329 ms 684 KB Output is correct
33 Correct 343 ms 684 KB Output is correct
34 Correct 213 ms 940 KB Output is correct
35 Correct 278 ms 1196 KB Output is correct
36 Correct 293 ms 1196 KB Output is correct
37 Correct 323 ms 932 KB Output is correct
38 Correct 316 ms 1232 KB Output is correct
39 Correct 329 ms 1036 KB Output is correct
40 Correct 318 ms 1188 KB Output is correct
41 Correct 311 ms 1016 KB Output is correct
42 Correct 31 ms 776 KB Output is correct
43 Correct 65 ms 708 KB Output is correct
44 Correct 80 ms 716 KB Output is correct
45 Correct 103 ms 684 KB Output is correct
46 Correct 177 ms 684 KB Output is correct
47 Correct 208 ms 684 KB Output is correct
48 Correct 38 ms 772 KB Output is correct
49 Correct 42 ms 1136 KB Output is correct